• DocumentCode
    325331
  • Title

    Relationships between input-output stability and exponentially stable periodic orbits

  • Author

    Chung, Chung Choo ; Hauser, John

  • Author_Institution
    Hanyang Univ., Seoul, South Korea
  • Volume
    5
  • fYear
    1998
  • fDate
    21-26 Jun 1998
  • Firstpage
    2790
  • Abstract
    We present new results concerning the relationships between the input-output and Lyapunov stability of nonlinear system possessing a periodic orbit. Definition of small-signal finite-gain Lp stability around periodic orbit is introduced. We show Lp stability of exponentially stable periodic orbit using quadratic Lyapunov functions for the periodic orbit. The L2 gain analysis is presented with Hamiltonian-Jacobi inequality along with an example
  • Keywords
    Lyapunov methods; asymptotic stability; control system analysis; nonlinear systems; Hamiltonian-Jacobi inequality; asymptotic stability; gain analysis; input-output stability; nonlinear system; periodic orbits; quadratic Lyapunov functions; Convergence; Government; Linear systems; Lyapunov method; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Orbits; Protection; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1998. Proceedings of the 1998
  • Conference_Location
    Philadelphia, PA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4530-4
  • Type

    conf

  • DOI
    10.1109/ACC.1998.688362
  • Filename
    688362
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=325331